The approximately 1.5% of the items will be classified as good.
The probability that an item is defective given that it was classified as good is around 1.96%.
When we consider the production process, we know that 15% of all items produced are defective. However, the inspector misclassifies an item 10% of the time. This means that out of the 85% of non-defective items, approximately 10% will be falsely classified as defective.
Hence, the proportion of items classified as good can be calculated as 100% - 10% = 90% of non-defective items. Considering that 85% of all items produced are non-defective, we can estimate that 85% * 90% = 76.5% of all items will be classified as good.
To determine the probability that an item is defective given that it was classified as good, we need to consider the misclassification rate. Since the inspector misclassifies an item 10% of the time, it means that out of the 15% defective items, around 10% will be incorrectly classified as good. Thus, the proportion of items classified as good but are actually defective can be calculated as 15% * 10% = 1.5%.
Therefore, the probability that an item is defective given that it was classified as good is approximately 1.5% out of the total items classified as good, which is 76.5%. Consequently, the probability that an item is defective given that it was classified as good is approximately 1.5% / 76.5% = 1.96%.
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PLEASE HELP QUICKK!
The formula for the volume of a pyramid is
V = one-third B h. What can be concluded about this triangular pyramid? Check all that apply.
The height is 7 cm.
The base area is 73. 5 cm2.
The volume is 171. 5 cm3.
The volume of a prism with the same base area and height is 3 times the volume of this pyramid.
The area of a lateral face is used to find the volume
It cannot be concluded that the area of a lateral face is used to find the volume, as the formula for the volume of a pyramid explicitly states that the volume is one-third the product of the base area and height.
Based on the formula V = one-third B h, it can be concluded that the height of the triangular pyramid is 7 cm. It can also be concluded that the base area is 73.5 cm2, and the volume is 171.5 cm3, by substituting the given values in the formula.
However, it cannot be concluded that the volume of a prism with the same base area and height is three times the volume of this pyramid. This is because the volume of a pyramid is one-third the volume of a prism with the same base area and height.
Finally, it cannot be concluded that the area of a lateral face is used to find the volume, as the formula for the volume of a pyramid explicitly states that the volume is one-third the product of the base area and height.
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Which statement below is true ?
A.5/6x5/6 is equal to 5/6
B.2/3x1/3 is less than 2/3
C.8x7/8 is less than 7/8
D.3/5x5 is greater than 5
Answer:
இது ஒரு இதஇது ஒருஇது ஒருஇது ஒரு
3^-6x(3^3 divide 3^0)^2
Answer:
\( {3}^{2} \)
Step-by-step explanation:
\(3^{ - 6} \times (3^4 \div 3^0)^2\)
\( \frac{1}{ {3}^{6} } \times ( {3}^{4} \div {3}^{0} {)}^{2} \)
\( \frac{1}{729} \times ( {3}^{4} \div {3}^{0} {)}^{2} \)
\( \frac{1}{729} \times ( {3}^{4} {)}^{2} \)
\( \frac{1}{729} \times 6561\)
\( \frac{1}{729} \times (729(9))\)
\(9\)
\( {3}^{2} \)
Hope it is helpful...how easy is it for you to apply algebra concepts when determining angle measures of a polygon?
To determine the measures of the angles of a polygon are necessary the concepts of algebra by using the formula of the sum of interior angles and creating equations and obtaining the measures of unknown angle.
First, it is important to remember the formula for the sum of interior angles of a polygon, which is (n-2) x 180°, where n is the number of sides of the polygon.
Next, you can use algebra concepts to solve for the unknown angle measures. For example, if you know the sum of the interior angles and the measures of some of the angles, you can create an equation and solve for the unknown angle measures.
Here is an example:
If a quadrilateral has interior angles of 70°, 110°, and 120°, you can use the formula (4-2) x 180° = 360° to find the sum of the interior angles. Then, you can create the equation 70° + 110° + 120° + x = 360° and solve for x to find the measure of the unknown angle.
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whose musical instrument costs more, felipe's or samantha? Explain you will be brainliest
The cost of a musical instrument depends on the type, size, and features of the instrument. To determine whose instrument costs more, we must consider the type, size, and features of each instrument.
The cost of a musical instrument depends on a variety of factors such as the brand, type, size, and materials used in its construction. To determine which instrument costs more, we must first consider the type of instrument each person is purchasing. For example, if Felipe is purchasing a violin and Samantha is purchasing a trumpet, the violin would typically cost more since it requires a higher level of craftsmanship and materials. The size of the instrument can also affect the cost, as larger instruments require additional materials and labor to construct. We can also consider any additional features each instrument may have, such as a case or additional accessories, as these can increase the cost. Ultimately, to determine whose instrument costs more, we must consider the type, size, and features of each instrument.
Therefore, we must consider the type, size, and features of each instrument.
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Calculate the value of (6.72 x 10^5) + (3.2 x 10^4)
Give your answer in standard form.
Answer:
7.04× 10^5
Step-by-step explanation:
6.72 x 10^5= 6.72 x 10^(4+1)= 6.72 x 10^1 ×10^4
= 67.2 x 10^4
(67.2 x 10^4)+ (3.2 x 10^4)
(67.2+3.2) × 10^4 = 70.4 × 10^4
7.04× 10^5
Answer:
7.04× 10^5 Step-by-step explanation:
The table below shows the length and weight of a species of fish. Complete parts (a) and (b).
(a) Find an exponential model for the data.
The exponential model for the data is y = _
I'm not sure about the answer but I think it's a and b
\(\sqrt{x} ^{2}-\sqrt{27}\)
Answer:
\(x - 3\sqrt{3} \)
Study hard!
Brainliest please thank you!
Lauren gets a 12% commission for every piece of jewelry she sells. How much will she earn if she sells a $3,200 bracelet?
Answer:
$384
Step-by-step explanation:
$3,200 x 0.12 = $384
PQRS is a rhombus with PQ= 12 cm
Find with reasons:
1.1 a
1.2 b
1.3 c
1.4 the whole of Q
1.5 the length of SR
What is an equation of the image of the line y = {x - 4after a dilation of a scale factor of centered at theorigin?
We have the following function given:
\(y=x-4\)We want to apply a dilation with a scale factor k centered at the origin
Assuming that the scale factor is k, then we just need to do the following :
\(y\text{ = x}-(4\cdot k)\)And with this we preserve the condition of centered at the origin and with the dilation factor
100 POINTS PLEASE PLEASE HELP I NEED THE ANSWER ASAPP ;(
Answer:
y < -1/4 x +1
Step-by-step explanation:
Find two points on the dotted line
( 0,1) and (4,0)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= (0-1)/(4-0)
= -1/4
The slope is -1/4
The y intercept is where it crosses the y axis or 1
The equation of the line, using slope intercept form
y = mx+b
y = -1/4x +1
The line is dotted which means there is no equals, just greater than or less than. It is shaded below which means less than
y < -1/4 x +1
Answer:
\(y<-\frac{1}{4}x+1\)
Step-by-step explanation:
First, let's find the equation of the line.
From the graph, we can pick out two points to use: (0,1) (the y-intercept) and (4,0) (the x-intercept).
Find the slope. Let (0,1) be x₁ and y₁ and let (4,0) be x₂ and y₂
Find the slope:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Substitute:
\(m=\frac{0-1}{4-0}\\m=-1/4\)
Use the slope-intercept form:
\(y=mx+b\)
Where m is the slope and b is the y-intercept.
We already know the slope is -1/4 and the y-intercept is 1. So, substitute:
\(y=-\frac{1}{4}x+1\)
Now, replace the equal sign with an inequality. Note that the line is dotted, so we won't use "or equal to." Also note that the blue, shaded area is below the line. Thus, we will use less than. Therefore:
\(y<-\frac{1}{4}x+1\)
The sentences:
First, we picked out two points from the graph. Next, we used those two points to find the slope. We used the slope and one of the points to write our slope-intercept equation. Afterwards, we can determine from the graph that since the shaded area is below the dotted line, the equation must have a less than.
Find each side length.
у
х
45
3
Ox= 3, y = 32
Ox=3V2, y=32
x = 3/2 y=3
x = 3, y = 6/2
\(2^{5} x 2^{3}\)
Answer:
2 5 x8
Step-by-step explanation:
i cant write it how it's supposed to be but u get it am sure its just 2 then 5 on top then just x8
sorry if i confused u hoped this helped..!!<3
Given that SQ¯¯¯¯¯ bisects ∠PSR and ∠SPQ≅∠SRQ, which of the following proves that PS¯¯¯¯¯≅SR¯¯¯¯¯?
The figure shows two triangles P Q S and R Q S with a common side S Q.
Answers
A.
1. ∠SPQ≅ ∠SRQ (Given)2. SQ¯¯¯¯¯ bisects ∠PSR. (Given)3. ∠SQP≅∠SQR (Def. of ∠ bisect)4. SQ¯¯¯¯¯≅SQ¯¯¯¯¯ (Reflex. Prop. of ≅)5. △PQS≅△RQS (AAS Steps 1, 3, 4)6. PS¯¯¯¯¯≅SR¯¯¯¯¯ (CPCTC)
B.
1. ∠SPQ≅ ∠SRQ (Given)2. SQ¯¯¯¯¯ bisects ∠PSR. (Given)3. ∠SQP≅∠SQR (Def. of bisect)4. SQ¯¯¯¯¯≅SQ¯¯¯¯¯ (Reflex. Prop. of ≅)5. △PQS≅△RQS (SAS Steps 1, 3, 4)6. PS¯¯¯¯¯≅SR¯¯¯¯¯ (CPCTC)
C.
1. ∠SPQ≅ ∠SRQ (Given)2. SQ¯¯¯¯¯ bisects ∠PSR. (Given)3. SP¯¯¯¯¯≅SR¯¯¯¯¯ (Def. of bisect)4. SQ¯¯¯¯¯≅SQ¯¯¯¯¯ (Sym. Prop. of ≅)5. △PQS≅△RQS (SAS Steps 1, 3, 4)6. PS¯¯¯¯¯≅SR¯¯¯¯¯ (CPCTC)
D.
1. ∠SPQ≅ ∠SRQ (Given)2. SQ¯¯¯¯¯ bisects ∠PSR. (Given)3. ∠PSQ≅∠QSR (Def. of ∠ bisect)4. SQ¯¯¯¯¯≅SQ¯¯¯¯¯ (Reflex. Prop. of ≅)5. △PQS≅△RQS (AAS Steps 1, 3, 4)6. PS¯¯¯¯¯≅SR¯¯¯¯¯ (CPCTC)
Step-by-step explanation:
It is given that ∠SPQ≅∠SRQ
.
The figure shows the same triangles P Q S and R Q S as in the beginning of the task. Angles S P Q and S R Q are highlighted in red.
It is also given that SQ⎯⎯⎯⎯⎯
bisects ∠PSR
.
By the definition of angle bisector, ∠PSQ≅∠QSR
.
The figure shows the same triangles P Q S and R Q S as in the beginning of the task. Angles P S Q and R S Q are congruent and highlighted in red.
△PQS
and △RQS share a common side SQ⎯⎯⎯⎯⎯, and SQ⎯⎯⎯⎯⎯≅SQ⎯⎯⎯⎯⎯
by the Reflexive Property of Congruence.
The figure shows the same triangles P Q S and R Q S as in the beginning of the task. Segment S Q is highlighted in red.
Two angles, ∠SPQ
and ∠PSQ, and a nonincluded side, SQ⎯⎯⎯⎯⎯, of △PQS are congruent to two angles, ∠SRQ and ∠QSR, and a nonincluded side, SQ⎯⎯⎯⎯⎯, of △RQS
.
The figure shows the same triangles P Q S and R Q S as in the beginning of the task. Angles P S Q and R S Q are highlighted in red. Angles S P Q and S R Q are highlighted in red. Side S Q is highlighted in blue.
So, △PQS≅△RQS
by the Angle-Angle-Side (AAS) Congruence Theorem.
PS⎯⎯⎯⎯⎯
and SR⎯⎯⎯⎯⎯ are corresponding sides of congruent triangles, △PQS and △RQS. So, PS⎯⎯⎯⎯⎯≅SR⎯⎯⎯⎯⎯
by CPCTC.
The figure shows the same triangles P Q S and R Q S as in the beginning of the task. Sides S R and S P are congruent and highlighted in red.
Translate these six statements and reasons into a 2
-column proof,
1. ∠SPQ≅∠SRQ
(Given)
2. SQ⎯⎯⎯⎯⎯
bisects ∠PSR
. (Given)
3. ∠PSQ≅∠QSR
(Def. of ∠
bisect)
4. SQ⎯⎯⎯⎯⎯≅SQ⎯⎯⎯⎯⎯
(Reflex. Prop. of ≅
)
5. △PQS≅△RQS
(AAS Steps 1, 3, 4)
6. PS⎯⎯⎯⎯⎯≅SR⎯⎯⎯⎯⎯
(CPCTC)
There you go
A laptop computer is purchased for 3100. Each year, its value is 75% of its value the year before. After how many years will the laptop computer be worth $600 or less
Answer:7 to 9? Years
Step-by-step explanation: I’m not sure but if you got a couple trys try to do it.
Answer:
6 years
Step-by-step explanation:
Y = IA (r)^t
600 = 3100 (.75)^t
then just solve for T i recommend using guess and check, but thats me
and youll get 6 years.
What is 80 divided by 7640
Answer:
0.01047
Step-by-step explanation:
Answer:
7640/80=95.5 or 80/7640=0.01047120418
Step-by-step explanation:
I used a calculator.
A dealership tracks the correlation between the age of its used cars and asking price for the car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
Which statements are true regarding this model? Check all that apply.
For every one year in age, the price is predicted to increase by $930.
For every one year in age, the price is predicted to decrease by $930.
If the car is new, the car is predicted to cost $12,338.
If the age of the car is 1 year, the price is predicted to be $12,338.
Answer:
Step-by-step explanation:
The reasonable price of the car after 4 years will be $8618.
What is regression analysis?
Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a dependent variable and one or more independent variables.
Given that a dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
The price of the car after 4 years will be calculated as follows:-
y = 12338 - 930x
y = 12338 - ( 930 x 4 )
y = 12338 - 3720
y = $8618
Therefore, the reasonable price of the car after 4 years will be $8618.
Answer:
B - For every one year in age, the price is predicted to decrease by $930
C- If the Car is new, the car is predicted to cost $12,338.
Step-by-step explanation:
correct on edge 2022
3. Can you find the ratio of AB to AC and the ratio of DE to EF?
Its a written response type answer, so yes, no. And why or why not
Answer: Yes
Step-by-step explanation:
If you were to be given the numbers for the corresponding coefficient you can solve this question just like as if they were real numbers. Even if you weren't given values, The coefficients unknown value is usually presumed as 1.
if a= 10 b=5 c=6 d=50 e=100 f=1
ab= 10:5
ac= 10:6
de= 50:100
ef= 100:1
if they were all one then they would just be 1:1
how many ways can you make a 5 digit password that can be any number (including zero) or letter (not case sensitive)? 916132832
These work out to 60,466,176 case insensitive combinations of letters.
There are 10 digits 0–9.
The are 26 letters in the modern alphabets.
However, you didn’t specify whether capital and lowercase letters count as the same letter or separate. In the former case, there are 26 letters, in the latter, there are 52.
There is also such a thing as lowercase numbers, but since they aren’t in common standard usage, I won’t count those.
You also didn’t specify that characters couldn’t be repeated, so I am going to assume that the same character can appear multiple times in a 5 character combination.
Also, since the combinations are an alphanumeric string of characters rather than a number, I will assume that leading zeroes are allowed.
So, there are either 36 (10 digits and 26 letters).
To find the number of combinations you multiply the number of possibilities for each character;
36 x 36 x 36 x 36 x 36
These work out to 60,466,176 case insensitive combinations of letters.
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3x + 5x - 2 + 18x = 180
Answer:
x=7
Step-by-step explanation:
3x+5x-2+18=180
26x-2=180
26x=182
x=7
4 less than half a number is 21
Answer: X=50
Step-by-step explanation:
Data: 4 less than half of a number(x) is 21
Step one, make an equation
(x/2)-4=21
The reason for this is that since we know that 21 is 4 less than half the number(x) we can assume that dividing x by 2 will get half of it and by subtracting 4, we can get 21 which why it equals 21. By having it in an equation, it makes it easier to solve.
Step two, Start isolating x by adding 4 on both sides
(x/2)-4+4=21+4=(x/2)=25
The reason for this is that we have to find what x is which is done by isolating it. So if you add 4, you get rid of the -4 which helps isolate x and what you do to one side, you do to the other so you add 4 to 21 as well
Step three, multiply by 2 on both sides
(x/2)x2=25x2=X=50
The reason for this is that /2 is next to x so to isolate you have to get rid of it by multiplying by 2 and since what you do to one side you do to the other, you multiply 25 by 2 to get 50.
Answer: X=50
I hope this helps!
Randy works 50 weeks a year, averaging $500 a week in wages. He is offered a salaried position at $27,500 a year. If he accepts it, he will make ______. a. less money b. more money c. the same amount d. can’t tell
Answer:
b. more money
Step-by-step explanation:
Randy's original position lets him make:
50*500 = $25,000
The new position will let him make:
$27,500
Therefore,
original position < new position = $25,000 < $27,500
11. The following is the distribution of heights of students of a class in a school. Find the mean, median and modal height. 160-163 Height (in cm) No: of students 15 163-166 118 166-169 142 169-172 127 172-175 18
The mean height of the students in the class is 168.06 cm. The median height is 167.5 cm, and the modal height is in the range of 166-169 cm.
To find the mean, median, and modal height of the students in the class, we can use the given distribution of heights.
The distribution of heights and the corresponding number of students are as follows:
Height (in cm) No. of students
160-163 15
163-166 118
166-169 142
169-172 127
172-175 18
Mean:
To find the mean height, we can calculate the weighted average using the midpoint of each height range and the number of students in each range.
Mean = (15 * 161.5 + 118 * 164.5 + 142 * 167.5 + 127 * 170.5 + 18 * 173.5) / (15 + 118 + 142 + 127 + 18)
Mean = 168.06 cm
Median:
The median is the middle value of the data when arranged in ascending order. Since the distribution is already provided, we can determine the median by finding the midpoint of the total number of students.
Total number of students = 15 + 118 + 142 + 127 + 18 = 420
Median position = (420 + 1) / 2 = 210.5
The median falls within the 166-169 cm height range. Therefore, the median height is 167.5 cm.
Modal height:
The modal height is the height value that appears most frequently in the data. In this case, the height range with the highest number of students is the modal height. According to the data, the 166-169 cm height range has the highest frequency, with 142 students.
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Isaac purchased a new car in 2004 for $16, 900. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $1,400 in the year 2012, then what would be the predicted value of the car in the year 2017, to the nearest dollar?
The value of the car in the year of 2017 would be of:
$295.
How to obtain the value of the car in 2017?A decaying exponential function is given as follows:
y = a(1 - r)^x.
In which:
a is the initial value.r is the decay rate, as a decimal.The initial value for this problem is of:
a = 16900.
After 8 years, the value was of 1400, hence the decay rate is obtained as follows:
16900(1 - r)^8 = 1400
(1 - r)^8 = 1400/16900
((1 - r)^8)^1/8 = (1400/16900)^1/8
1 - r = 0.73245368177
Hence the function is:
y = 16900(0.73245368177)^x.
2017 is 13 years after 2004, hence the value would be of:
y = 16900(0.73245368177)^13
y = $295.
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An executive of Trident Communications recently traveled to London, Paris, and Rome. He paid $180, $230, and
$160 per night for lodging in London, Paris, and Rome, respectively, and his hotel bills totaled $2660. He spent $110,
$120, and $90 per day for his meals in London, Paris, and Rome, respectively, and his expenses for meals totaled
$1520. If he spent as many days in London as he did in Paris and Rome combined, how many days did he stay in
each city? (4 marks)
The executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.
The number of days in each cityLet x be the number of days the executive stayed in London, y be the number of days he stayed in Paris, and z be the number of days he stayed in Rome.
We can set up the following equations to represent the given information:
180x + 230y + 160z = 2660 (hotel bills)
110x + 120y + 90z = 1520 (meal expenses)
x = y + z (he spent as many days in London as he did in Paris and Rome combined)
We can rearrange the third equation to get y + z - x = 0 and substitute it into the first two equations to eliminate x:
180x + 230y + 160z = 2660
110x + 120y + 90z = 1520
-180y - 180z + 180x = 0
Adding the first and third equations gives us:
360x + 50y - 20z = 2660
Adding the second and third equations gives us: 290x - 60y - 90z = 1520
We can now solve for x by multiplying the first equation by 3 and the second equation by 5 and subtracting them:
1080x + 150y - 60z = 7980
-1450x + 300y + 450z = 7600
----------------------------------
1630x - 150y - 510z = 380
Solving for x gives us:
x = (150y + 510z + 380) / 1630
Substituting this back into the third equation gives us:
y + z - (150y + 510z + 380) / 1630 = 0
Multiplying by 1630 and rearranging gives us:
1480y + 490z = 380
We can now solve for y by multiplying the first equation by 490 and the second equation by 50 and subtracting them:
490(360x + 50y - 20z) = 490(2660)
50(290x - 60y - 90z) = 50(1520)
---------------------------------------------------
19600x + 24500y - 9800z = 1303400
-14500x + 3000y + 4500z = 76000 --------------------------------------------------
4100x - 21500y - 14300z = 1227400
Solving for y gives us:
y = (4100x + 14300z - 1227400) / 21500
Substituting this back into the equation 1480y + 490z = 380 gives us:
1480(4100x + 14300z - 1227400) / 21500 + 490z = 380
Multiplying by 21500 and rearranging gives us:
606800x + 2054200z - 1817320000 = 0
Solving for z gives us:
z = (1817320000 - 606800x) / 2054200
Substituting this back into the equation x = y + z gives us:
x = y + (1817320000 - 606800x) / 2054200
Multiplying by 2054200 and rearranging gives us: 606800x^2 - 2054200xy - 2054200x + 1817320000y + 3707618640000 = 0
Using the quadratic formula, we can find the value of x:
x = (2054200y + 2054200 ± √[(2054200y + 2054200)^2 - 4(606800)(1817320000y + 3707618640000)]) / (2*606800)
Plugging in the value of y from earlier gives us:
x = (2054200(4100x + 14300z - 1227400) / 21500 + 2054200 ± √[(2054200(4100x + 14300z - 1227400) / 21500 + 2054200)^2 - 4(606800)(1817320000(4100x + 14300z - 1227400) / 21500 + 3707618640000)]) / (2*606800)
Simplifying and solving for x gives us:
x = 10
Substituting this back into the equation x = y + z gives us:
10 = y + z
Substituting this back into the equation 1480y + 490z = 380 gives us:
1480y + 490(10 - y) = 380
Solving for y gives us:
y = 6
Substituting this back into the equation 10 = y + z gives us: 10 = 6 + z
Solving for z gives us:
z = 4
Therefore, the executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.
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Ruby’s homework covers multiplication with the powers of 10 the first question on her homework is 82.6 x 10 to the power of 2 what is the value of expression?
Answer:
826
Step-by-step explanation:
82.6 x 10 to the power of 2 :
8.26 * 10^2
8.26 * (10 * 10)
8.26 * (100)
= 826
Which estimate is the closest to actual value of (2.99548) (1.8342)?
A. 4.8
B. 5.5
C6.2
D8.3
Answer:
B 5.5 I had it on a exit ticket and I got it right
Step-by-step explanation:
Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.
The dimensions of the rectangle is 25m × 25m.
How do you find the dimension of a rectangle?
Two dimensions make up a rectangle: the length and, perpendicular to that, the breadth.
What are the three dimensions of a rectangle?
The three dimensions of a three-dimensional shape are length, width, and depth.
It is given that
Perimeter of the rectangle = 100m
Area is as large as possible if both the values are the same number.
The measurements must be equivalent for the rectangle to attain its maximum area.
Consider the dimensions as x
So perimeter can be written as
2 (x + x) = 100
2 (2x) = 100
By additional computation
4x = 100
Divide both sides by 4
x = 25
Therefore, the dimensions of a rectangle is 25m × 25m.
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100 points please help
Answer:
3x^2+x-6=0
Step-by-step explanation:
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